1287732457089 has 189 divisors, whose sum is σ = 2166351583851. Its totient is φ = 764752959360.

The previous prime is 1287732457027. The next prime is 1287732457103. The reversal of 1287732457089 is 9807542377821.

The square root of 1287732457089 is 1134783.

It is a perfect power (a square), and thus also a powerful number.

1287732457089 is a `hidden beast` number, since 1 + 2 + 8 + 77 + 32 + 457 + 0 + 89 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1287242277489 + 490179600 = 1134567^2 + 22140^2 .

It is not a de Polignac number, because 1287732457089 - 2¹⁷ = 1287732326017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1287732457489) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 21110368119 + ... + 21110368179.

Almost surely, 2^{1287732457089} is an apocalyptic number.

1287732457089 is the 1134783-rd square number.

1287732457089 is the 567392-nd centered octagonal number.

It is an amenable number.

1287732457089 is a deficient number, since it is larger than the sum of its proper divisors (878619126762).

1287732457089 is an frugal number, since it uses more digits than its factorization.

1287732457089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 1287732457089 in words is "one trillion, two hundred eighty-seven billion, seven hundred thirty-two million, four hundred fifty-seven thousand, eighty-nine".